2406208896000 has 2112 divisors, whose sum is σ = 11151226719360. Its totient is φ = 507219148800.

The previous prime is 2406208895963. The next prime is 2406208896019. The reversal of 2406208896000 is 6988026042.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2201471454 + ... + 2201472546.

Almost surely, 2^{2406208896000} is an apocalyptic number.

2406208896000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2406208896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5575613359680).

2406208896000 is an abundant number, since it is smaller than the sum of its proper divisors (8745017823360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2406208896000 is a wasteful number, since it uses less digits than its factorization.

2406208896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 2406208896000 in words is "two trillion, four hundred six billion, two hundred eight million, eight hundred ninety-six thousand".